442516624384 has 88 divisors (see below), whose sum is σ = 907195158848. Its totient is φ = 215630069760.

The previous prime is 442516624337. The next prime is 442516624393. The reversal of 442516624384 is 483426615244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20111629 + ... + 20133619.

It is an arithmetic number, because the mean of its divisors is an integer number (10309035896).

Almost surely, 2^442516624384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442516624384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453597579424).

442516624384 is an abundant number, since it is smaller than the sum of its proper divisors (464678534464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442516624384 is a wasteful number, since it uses less digits than its factorization.

442516624384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22511 (or 22493 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 49.

The spelling of 442516624384 in words is "four hundred forty-two billion, five hundred sixteen million, six hundred twenty-four thousand, three hundred eighty-four".